What is (z-5/3)(z-2/3) ?

The solution to (z-5/3)(z-2/3) is ((3z-5)(3z-2))/9

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simplify (z-5/3)(z-2/3)

simplify

(z - \frac{5}{3}) (z - \frac{2}{3})

\frac{( 3 z - 5 ) ( 3 z - 2 )}{9}

Solution steps

(z - \frac{5}{3}) (z - \frac{2}{3})

Simplify

z - \frac{5}{3} : \frac{3 z - 5}{3}

= \frac{3 z - 5}{3} (z - \frac{2}{3})

Apply the fraction rule:

a \cdot \frac{b}{c} = \frac{a \cdot b}{c}

= \frac{( 3 z - 5 ) ( z - \frac{2}{3} )}{3}

Simplify

(3 z - 5) (z - \frac{2}{3}) : \frac{( 3 z - 5 ) ( z \cdot 3 - 2 )}{3}

= \frac{\frac{( 3 z - 5 ) ( z \cdot 3 - 2 )}{3}}{3}

Apply the fraction rule:

\frac{\frac{a}{b}}{c} = \frac{a}{b \cdot c}

= \frac{( 3 z - 5 ) ( z \cdot 3 - 2 )}{3 \cdot 3}

Multiply the numbers:

3 \cdot 3 = 9

= \frac{( 3 z - 5 ) ( z \cdot 3 - 2 )}{9}

= \frac{( 3 z - 5 ) ( 3 z - 2 )}{9}

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